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Finding the Fourth Proportional to 456,000.30, 629,193.79 and 286,157.88

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Solution

The fourth proportional to 456,000.30, 629,193.79 and 286,157.88 is: 394,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,000.30 : 629,193.79 = 286,157.88 : x
  2. Step 2: Convert to fraction form
    456,000.30/629,193.79 = 286,157.88/x
  3. Step 3: Cross multiply
    456,000.30x = 629,193.79 × 286,157.88
  4. Step 4: Simplify right side
    456,000.30x = 180,048,761,055.57
  5. Step 5: Solve for x
    x = 180,048,761,055.57/456,000.30
  6. Step 6: Final answer
    x = 394,843.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.